1) A basis of a vector space V is a set of vectors which must necessarily satisfy which of these properties? (circle all that are correct) a) In the vector space V b) Are linearly dependent c) Are linearly independent d) Have a proper (i.e. strictly smaller) subset which spans V e) Spans V f) Transforms into a robot

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.CR: Review Exercises
Problem 78CR: Let v1, v2, and v3 be three linearly independent vectors in a vector space V. Is the set...
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1) A basis of a vector space V is a set of vectors which must necessarily satisfy which of
these properties? (circle all that are correct)
a) In the vector space V
b) Are linearly dependent
c) Are linearly independent
d) Have a proper (i.e. strictly smaller) subset which spans V
e) Spans V
f) Transforms into a robot
Transcribed Image Text:1) A basis of a vector space V is a set of vectors which must necessarily satisfy which of these properties? (circle all that are correct) a) In the vector space V b) Are linearly dependent c) Are linearly independent d) Have a proper (i.e. strictly smaller) subset which spans V e) Spans V f) Transforms into a robot
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